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Mathematician Awarded Nobel Prize Growing Optimism That Fermat's
THE NEWSLETTER OF THE MATHEMATICAL ASSOCIATION OF AMERICA Mathematician Awarded Nobel Prize Volume 14, Number 6 Keith Devlin The awarding of the Nobel Prize in econom It was the application ics to the American John Nash on October of Nash's work in eco II th meant that for the firsttime in the 93-year nomic theory that led to history of the Nobel Prizes, the prize was his recent Nobel Prize, In this Issue awarded for work in pure mathematics. which he shares with fellow American John When the Swedish chemist, engineer, and phi Harsanyi and German 3 MAA Secretary's lanthropistAlfred Bernhard Nobel established Reinhard Selten. Report the awards in 1901, he stipulated chemistry, Nash's contribution to physics, physiology and medicine, and litera the combined work ture, but did not create a prize for mathematics. 4 Joint Mathematics which won the award It has been rumored that a particularly bad was in game theory. Meetings Update experience in mathematics at high school led to this exclusion of the "queen of sciences", or Nash's key idea-known nowadays as Nash 6 Search Committee it may simply be that Nobel felt that math equilibrium-was developed in his Ph.D. the Diary ematics was not, in itself, of sufficient sis submitted to the Princeton University relevance to human development to warrant Mathematics Department in 1950, when Nash its own award. Whateverthe reason, the math was just 22 years old. The thesis had taken him 10 Networks in ematicians have had to make do with their a mere two years to complete. -
A Tribute to Dick Askey
A tribute to Dick Askey Tom Koornwinder,∗ Walter Van Asschey and Ole Warnaarz February 2015 (last minor corrections 14 May 2015) Richard A. (Dick) Askey1 was born June 4, 1933 in St. Louis, Missouri. He received his PhD at Princeton University in 1961 under the direction of Salomon Bochner. After instructorships at Washington University and the University of Chicago he joined the faculty of the University of Wisconsin-Madison in 1963, where he became full professor in 1968. Since 2003 he is Professor Emeritus at that same institution. Dick received many awards and distinctions during the course of his mathematical career. He was elected member of the American Academy of Arts and Sciences in 1993 and of the National Academy of Sciences in 1999. Furthermore, he is a Honorary Fellow of the Indian Academy of Sciences and a Fellow of SIAM and of the American Mathematical Society. In 1983 he was an invited speaker at the International Congress of Mathematicians (ICM) in Warszawa. In 2012 he received an hon- orary doctorate from SASTRA University in Kumbakonam, India. Dick Askey's research interests are Special Functions and Orthogonal Polynomials, and more generally Classical Analysis. His works often touch upon aspects of approximation theory, har- monic analysis, number theory, combinatorics and probability theory. He published2 140 research articles in journals, conference proceedings and edited books. His most frequent coauthors are George Gasper, Mourad Ismail and Stephen Wainger. Dick's research publications include two AMS Memoirs: one written with Mourad Ismail in 1984 [7], and one with James Wilson in 1985 [8] on the Askey-Wilson polynomials, probably his most influential publication. -
Memorial Statements
MEMORIAL STATEMENTS Cornell University Faculty 2016-2017 Office of the Dean of Faculty Ithaca, New York Table of Contents 5 Marvin I. Adleman 9 Martin Alexander 14 Bruce L. Anderson 17 John M. Bird 21 Arthur L. Bloom 25 Malcolm C. Bourne 32 Muriel S. Brink 35 Harlan B. Brumsted 41 Harold R. Capener 44 Susan M. Christopherson 49 Roger C. Cramton 52 Marjorie M. Devine 55 Alan Dobson 58 Clifford J. Earle 63 Chester Forshey 68 James W. Gair 74 Robert Gowin 79 Lawrence S. Hamilton 85 Peter C. Hinkle 88 Wolfgang Holdheim 91 Robert E. Hughes 94 Karel J. Husa 98 Lynne H. Irwin 102 Andre T. Jagendorf 106 Ann Johnson 110 Richard P. Korf 114 Arthur S. Lieberman 118 Theodore J. Lowi 124 Russell E. MacDonald 126 Franklin K. Moore 132 Mary A. Morrison 135 Edwin B. Oyer 139 Richard H. Penner 142 Gregory Poe 146 Herbert Schryver 149 Alain Seznec 2 153 Daniel G. Sisler 158 Seymour Smidt 162 Donald F. Smith 166 Robert J. Smith 170 Rose Steidl 173 Gilbert S. Stoewsand 177 Mark A. Turnquist 184 Natalie W. Uhl 190 David B. Wilson 194 Paul Yarbrough 197 Milton Zaitlin 201 Robert Zall 3 Preface The University Faculty has always followed the practice of including within the faculty records a memorial resolution on the death of one of its members. The faculty modified this custom that was begun in the earliest days of Cornell University in 1938 as follows: Upon the death of a member of the University Faculty, the President or Dean of Faculty shall formally notify the Faculty at the next meeting and those present shall rise in respect for the memory of the deceased member. -
AN INTEGRAL of PRODUCTS of ULTRASPHERICAL FUNCTIONS and a Q-EXTENSION
AN INTEGRAL OF PRODUCTS OF ULTRASPHERICAL FUNCTIONS AND A q-EXTENSION RICHARD ASKEY, TOM H. KOORNWINDER AND MIZAN RAHMAN ABSTRACT Let Pn(x) and Qn(x) denote the Legendre polynomial of degree n and the usual second solution to the differential equation, respectively. Din showed that J1__ 1 Qn(x) Pm(x) P1(x) dx vanishes when 11-m I < n < l+m, and Askey evaluated the integral for arbitrary integral values of l, m and n. We extend this to the evaluation of J1__ 1 D~(x) Ci,(x) Cf(x) (l -x2) 2•- 1 dx, where C~(x) is the ultraspherical polynomial and D~(x) is the appropriate second solution to the ultraspherical differential equation. A q-extension is found using the continuous q-ultraspherical polynomials of Rogers. Again the integral vanishes when I l-m I < n < l + m. It is shown that this vanishing phenomenon holds for quite general orthogonal polynomials. A related integral of the product of three Bessel functions is also evaluated. 1. Introduction Legendre polynomials Pn are orthogonal polynomials of degree non (-1, I) with constant weight function and with normalization Pn(l) = 1. Corresponding Legendre functions of the second kind Qn are defined on the cut (-1, I) by the principal value integral Qn(X) = ~ L1x11 p ~t; dt, -1 < x < 1, (1.1) cf. [26, (4.9.12) and (4.62.9)]. In a very surprising paper Din [9] showed that [ (x)dx = (l.2) 1 Qn(x)Pm(x)P1 0 when I l-m I< n < l+m. Part of the surprise was the vanishing and part was the fact that such an attractive result did not seem to have been found before. -
Annual Rpt 2004 For
I N S T I T U T E for A D V A N C E D S T U D Y ________________________ R E P O R T F O R T H E A C A D E M I C Y E A R 2 0 0 3 – 2 0 0 4 EINSTEIN DRIVE PRINCETON · NEW JERSEY · 08540-0631 609-734-8000 609-924-8399 (Fax) www.ias.edu Extract from the letter addressed by the Institute’s Founders, Louis Bamberger and Mrs. Felix Fuld, to the Board of Trustees, dated June 4, 1930. Newark, New Jersey. It is fundamental in our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. TABLE OF CONTENTS 4·BACKGROUND AND PURPOSE 7·FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 10 · ADMINISTRATION 12 · PRESENT AND PAST DIRECTORS AND FACULTY 15 · REPORT OF THE CHAIRMAN 20 · REPORT OF THE DIRECTOR 24 · OFFICE OF THE DIRECTOR - RECORD OF EVENTS 31 · ACKNOWLEDGMENTS 43 · REPORT OF THE SCHOOL OF HISTORICAL STUDIES 61 · REPORT OF THE SCHOOL OF MATHEMATICS 81 · REPORT OF THE SCHOOL OF NATURAL SCIENCES 107 · REPORT OF THE SCHOOL OF SOCIAL SCIENCE 119 · REPORT OF THE SPECIAL PROGRAMS 139 · REPORT OF THE INSTITUTE LIBRARIES 143 · INDEPENDENT AUDITORS’ REPORT 3 INSTITUTE FOR ADVANCED STUDY BACKGROUND AND PURPOSE The Institute for Advanced Study was founded in 1930 with a major gift from New Jer- sey businessman and philanthropist Louis Bamberger and his sister, Mrs. -
Richard Askey, UW-Madison, by J
Know Your Wisconsin Mathematician Interview with Professor Richard Askey, UW-Madison, by J. Sriskandarajah, MATC This is our sixth interview in this series. Professor Askey retired recently after a very successful career at the UW-Madison, Department of Mathematics (1963-2003). To learn more about his accomplishments, please visit: http://www.math.wisc.edu/~askey/ Q. Tell us something about your education, starting with elementary school. A. Here is one story from grade school. I was in third grade, which was on the first floor, and walked by the room on the second floor in which math was taught to fifth and sixth grade students. I saw a symbol I did not know so asked my teacher what it was. We had done addition, subtraction, multiplication and division, but not square roots. She explained it was the symbol for taking a square root, explained what square roots were and how to calculate them. Later when I was in fifth and sixth grades, the teacher who taught math to all of the fifth and sixth grade students was still teaching. She and all of the teachers I had in grade school were good. This was in a suburb just outside of the St. Louis City line. It was a neighborhood with some professionals and some manual workers. Two doors one direction was an electrical engineer who worked for the telephone company and on the other side was a bus driver. We lived in a small six room house, with four children and our parents, with a grandmother living with us when there were only three children. -
October 1983 Table of Contents
Fairfield Meeting (October 28-29)- Page 614 San Luis Obispo Meeting (November 11-12)-Page 622 Evanston Meeting (November 11-12)-Page 630 Notices of the American Mathematical Society October 1983, Issue 228 Volume 30, Number 6, Pages 569- 712 Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet· ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. -
Mathematical Sciences Meetings and Conferences Section
page 1349 Calendar of AMS Meetings and Conferences Thla calandar lists all meetings which have been approved prior to Mathematical Society in the issue corresponding to that of the Notices the date this issue of Notices was sent to the press. The summer which contains the program of the meeting, insofar as is possible. and annual meetings are joint meetings of the Mathematical Associ Abstracts should be submitted on special forms which are available in ation of America and the American Mathematical Society. The meet many departments of mathematics and from the headquarters office ing dates which fall rather far in the future are subject to change; this of the Society. Abstracts of papers to be presented at the meeting is particularly true of meetings to which no numbers have been as must be received at the headquarters of the Society in Providence, signed. Programs of the meetings will appear in the issues indicated Rhode Island, on or before the deadline given below for the meet below. First and supplementary announcements of the meetings will ing. Note that the deadline for abstracts for consideration for pre have appeared in earlier issues. sentation at special sessions is usually three weeks earlier than that Abatracta of papara presented at a meeting of the Society are pub specified below. For additional information, consult the meeting an lished in the journal Abstracts of papers presented to the American nouncements and the list of organizers of special sessions. Meetings Abstract Program Meeting# Date Place Deadline Issue -
Mathematical Apocrypha Redux Originally Published by the Mathematical Association of America, 2005
AMS / MAA SPECTRUM VOL 44 Steven G. Krantz MATHEMATICAL More Stories & Anecdotes of Mathematicians & the Mathematical 10.1090/spec/044 Mathematical Apocrypha Redux Originally published by The Mathematical Association of America, 2005. ISBN: 978-1-4704-5172-1 LCCN: 2005932231 Copyright © 2005, held by the American Mathematical Society Printed in the United States of America. Reprinted by the American Mathematical Society, 2019 The American Mathematical Society retains all rights except those granted to the United States Government. ⃝1 The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at https://www.ams.org/ 10 9 8 7 6 5 4 3 2 24 23 22 21 20 19 AMS/MAA SPECTRUM VOL 44 Mathematical Apocrypoha Redux More Stories and Anecdotes of Mathematicians and the Mathematical Steven G. Krantz SPECTRUM SERIES Published by THE MATHEMATICAL ASSOCIATION OF AMERICA Council on Publications Roger Nelsen, Chair Spectrum Editorial Board Gerald L. Alexanderson, Editor Robert Beezer Ellen Maycock William Dunham JeffreyL. Nunemacher Michael Filaseta Jean Pedersen Erica Flapan J. D. Phillips, Jr. Michael A. Jones Kenneth Ross Eleanor Lang Kendrick Marvin Schaefer Keith Kendig Sanford Segal Franklin Sheehan The Spectrum Series of the Mathematical Association of America was so named to reflect its purpose: to publish a broad range of books including biographies, acces sible expositions of old or new mathematical ideas, reprints and revisions of excel lent out-of-print books, popular works, and other monographs of high interest that will appeal to a broad range of readers, including students and teachers of mathe matics, mathematical amateurs, and researchers. -
Nevai=Nevai1996=Aske
Gabor Szeg6": 1895-1985 Richard Askey and Paul Nevai The international mathematics community has recently dered how Szeg6 recognized another former celebrated the 100th anniversary of Gabor SzegS"s birth. 1 Hungarian. In 1972, I spent a month in Budapest and Gabor Szeg6 was 90 years old when he died. He was Szeg6 was there. We talked most days, and although his born in Kunhegyes on January 20,1895, and died in Palo health was poor and his memory was not as good as it Alto on August 7, 1985. His mother's and father's names had been a few years earlier, we had some very useful were Hermina Neuman and Adolf Szeg6, respectively. discussions. Three years earlier, also in Budapest, Szeg6 His birth was formally recorded at the registry of the Karcag Rabbinical district on January 27, 1895. He came from a small town of approximately 9 thousand inhab- itants in Hungary (approximately 150 km southeast of Budapest), and died in a town in northern California, U.S.A., with a population of approximately 55 thousand, near Stanford University and just miles away from Silicon Valley. So many things happened during the 90 years of his life that shaped the politics, history, econ- omy, and technology of our times that one should not be surprised that the course of Szeg6's life did not fol- low the shortest geodesic curve between Kunhegyes and Palo Alto. I (R. A.) first met Szeg6 in the 1950s when he returned to St. Louis to visit old friends, and I was an instructor at Washington University. -
Extreme Points of the Vandermonde Determinant and Phenomenological Modelling with Power Exponential Functions 2019 Isbn 978-91-7485-431-2 Issn 1651-4238 P.O
Mälardalen University Doctoral Dissertation 293 Karl Lundengård Lundengård Karl Extreme points of the Vandermonde determinant and phenomenological EXTREME POINTS OF THE VANDERMONDE DETERMINANT AND PHENOMENOLOGICAL MODELLING WITH POWER EXPONENTIAL FUNCTIONS modelling with power exponential functions Karl Lundengård Address: P.O. Box 883, SE-721 23 Västerås. Sweden ISBN 978-91-7485-431-2 Address: P.O. Box 325, SE-631 05 Eskilstuna. Sweden E-mail: [email protected] Web: www.mdh.se ISSN 1651-4238 2019 1 Mälardalen University Press Dissertations No. 293 EXTREME POINTS OF THE VANDERMONDE DETERMINANT AND PHENOMENOLOGICAL MODELLING WITH POWER EXPONENTIAL FUNCTIONS Karl Lundengård 2019 School of Education, Culture and Communication 2 Copyright © Karl Lundengård, 2019 ISBN 978-91-7485-431-2 ISSN 1651-4238 Printed by E-Print AB, Stockholm, Sweden 3 Mälardalen University Press Dissertations No. 293 EXTREME POINTS OF THE VANDERMONDE DETERMINANT AND PHENOMENOLOGICAL MODELLING WITH POWER EXPONENTIAL FUNCTIONS Karl Lundengård Akademisk avhandling som för avläggande av filosofie doktorsexamen i matematik/tillämpad matematik vid Akademin för utbildning, kultur och kommunikation kommer att offentligen försvaras torsdagen den 26 september 2019, 13.15 i Delta, Mälardalens högskola, Västerås. Fakultetsopponent: Professor Palle Jorgensen, University of Iowa Akademin för utbildning, kultur och kommunikation 4 Abstract This thesis discusses two topics, finding the extreme points of the Vandermonde determinant on various surfaces and phenomenological modelling using power-exponential functions. The relation between these two problems is that they are both related to methods for curve-fitting. Two applications of the mathematical models and methods are also discussed, modelling of electrostatic discharge currents for use in electromagnetic compatibility and modelling of mortality rates for humans. -
Paying Tribute to James Eells and Joseph H. Sampson: in Commemoration of the Fiftieth Anniversary of Their Pioneering Work on Harmonic Maps
Paying Tribute to James Eells and Joseph H. Sampson: In Commemoration of the Fiftieth Anniversary of Their Pioneering Work on Harmonic Maps Yuan-Jen Chiang and Andrea Ratto James Eells was born in Cleveland, Ohio, in 1926 and passed away in Cambridge, England, in Feb- ruary 2007. He earned his PhD from Harvard University under the guidance of the topologist and analyst Hassler Whitney in 1954. He worked at the Institute for Advanced Study in Princeton and at the University of California in Berkeley from 1956–1958. He then returned to the East Coast where he accepted a position at Columbia University (1958–1964). He also taught at Churchill College, Cambridge, and Cornell University. Later, attracted by the atmosphere and potential at the University of Warwick, he joined the mathematics department there and became a professor of global analysis and geometry in 1969. Eells organized year-long highly successful Warwick symposia, namely, “Global Analysis” (1971–1972) and “Ge- ometry of the Laplace Operator” (1976–1977). He was the first director of the Mathematical Section of the International Centre for Theoretical Physics in Trieste from 1986 to 1992. As a prominent professor and an inventive mathematician, Eells’s mathematical influence in the field of harmonic ©ICTP Photo Archive. Professor J. Eells (1926–2007). Yuan-Jen Chiang is professor of mathematics at the Uni- versity of Mary Washington, VA. Her email address is [email protected]. Andrea Ratto is professor of mathematics at the University DOI: http://dx.doi.org/10.1090/noti1225 of Cagliari, Italy. His email address is [email protected].